arXiv subjects

Gabriele Calussi

Publications and source records attributed to Gabriele Calussi.

2 recordsLinked to original sources

arXiv2022

Heaps reduction, decorated diagrams, and the affine Temperley-Lieb algebra of type $C$

In this paper we propose a combinatorial framework to study a diagrammatic representation of the affine Temperley-Lieb algebra of type C introduced by Ernst. In doing this, we define two procedures, a decoration algorithm on diagrams and a reduction algorithm on heaps of independent interest. Using this approach, an explicit algorithmic description of Ernst representation map is provided from which its faithfulness can be deduced. We also give a construction of the inverse map.

math.CO↗

arXiv2019

Weak Hadamard Star Configurations and Apolarity

In [7] the authors have introduced a new construction using the Hadamard product to present star configurations of codimension $ c $ of $\mathbb{P}^n$ and which they called Hadamard star configurations. In this paper, we introduce a more general type of Hadamard star configuration. Any star configuration constructed by our approach is called a weak Hadamard star configuration. We classify weak Hadamard star configurations, and in the case $ c=n $, we investigate the existence of a (weak) Hadamard star configuration apolar to the generic homogeneous polynomials of degree $ d$.

math.AG↗